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Finding the Fourth Proportional to 388,991.24, 583,346.57 and 164,369.07

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Solution

The fourth proportional to 388,991.24, 583,346.57 and 164,369.07 is: 246,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,991.24 : 583,346.57 = 164,369.07 : x
  2. Step 2: Convert to fraction form
    388,991.24/583,346.57 = 164,369.07/x
  3. Step 3: Cross multiply
    388,991.24x = 583,346.57 × 164,369.07
  4. Step 4: Simplify right side
    388,991.24x = 95,884,132,376.74
  5. Step 5: Solve for x
    x = 95,884,132,376.74/388,991.24
  6. Step 6: Final answer
    x = 246,494.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.